Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

17th October 2010

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Bounds3 marks
x = 151 and y = 98, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Rearranging Harder Formulae3 marks
Make x the subject of 7x + 6 = y(x + 6).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 13 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + 2b and vector RS = 5a + 10b. What does this show about PQ and RS?

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